66285120 has 112 divisors (see below), whose sum is σ = 229624128. Its totient is φ = 16066560.

The previous prime is 66285113. The next prime is 66285127. The reversal of 66285120 is 2158266.

It is an interprime number because it is at equal distance from previous prime (66285113) and next prime (66285127).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66285127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7422 + ... + 13698.

Almost surely, 2^66285120 is an apocalyptic number.

66285120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114812064).

66285120 is an abundant number, since it is smaller than the sum of its proper divisors (163339008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66285120 is a wasteful number, since it uses less digits than its factorization.

66285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 66285120 is about 8141.5674166588. The cubic root of 66285120 is about 404.7051046391.

The spelling of 66285120 in words is "sixty-six million, two hundred eighty-five thousand, one hundred twenty".